question_answer

A test particle is moving in a circular orbit in the gravitational field produced by a mass density \[\rho (r)=\frac{K}{{{r}^{2}}}.\]Identify the correct relation between the radius R of the particle's orbit and its period T :                                                                                                                   [JEE Main 9-4-2019 Afternoon]

A)  \[T/{{R}^{2}}\] is a constant

B)  \[TR\] is a constant

C)  \[{{T}^{2}}/{{R}^{3}}\] is a constant

D)  \[T/R\] is a constant

Correct Answer: D

Solution :

[d]